Question

A helium balloon ride lifts up passengers in a basket. Assume the density of air is 1.28 kg/m and the density of helium in the balloon is 0.18 kg/m. The radius of the balloon (when filled) is R-5 m. The total mass of the empty balloon and basket is my - 124 kg and the total volume is Vn 0.061 m. Assume the average person that gets into the balloon has a mass mp - 70 kg and volume Vp -0.076 m. 1) What is the volume of hellum in the balloon when fully inflated? 381.5 mSubmit You currently have 1 submissions for this question. Only 10 submission are allowed. You can make more submissions for this question. 2) What is the magnitude of the force of gravity on the entire system (but with no people)? Include the mass of the balloon, basket, and hellum. N Submit You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 3) What is the magnitude of the buoyant force on the entire system (but with no people)? Include the volume of the balloon, basket, and helium. N Submit You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 4) What is the magnitude of the force of gravity on each person? N Submit You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 5) What is the magnitude of the buoyant force on each person? N Submit You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 6) How many FULL people can the balloon lift up? (Your answer must be an integer.) people Submit You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.

Answer 1

Here, we go

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1)

volume of helium, V = 4/3 * pi * r ^ 3 = 523.6 m^3

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2)

force of gravity on the system

F = m_bg + $\rho$ _HeVg

F = 124 * 9.8 + 0.18 * 523.6 * 9.8

F = 2138.83 N

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3.)What is the magnitude of the buoyant force on the entire system (but with no people)? Include the volume of the balloon, basket, and helium.

F_b = (V + V_b ) $\rho$ _air g

F_b = (523.6 + 0.061) * 1.28 * 9.8

F_b = 6568.8 N

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4)

What is the magnitude of the force of gravity on each person

F = mg

F = 70 * 9.8

F = 686 N

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5)

What is the magnitude of the buoyant force on each person

F = 1.28 * 9.8 * 0.076

F = 0.953344 N

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6)

How many FULL people can the balloon lift up

N = 6568.8 - 2138.83 / 686

N = 6 persons